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The Quarterly Journal of Mechanics and Applied Mathematics 1956 9(2):136-139; doi:10.1093/qjmam/9.2.136
© 1956 by Oxford University Press
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THE MOTION OF A CYLINDER IN ROTATING LIQUID WITH GENERAL ELASTIC AND VISCOUS PROPERTIES

J. G. OLDROYD and R. H. THOMAS

( Department of Mathematics
University College of Swansea )

A generalization is given of the theorem that any two-dimensional motion of an incompressible viscous liquid relative to certain axes of reference is a physically possible relative motion if the frame of reference is rotating uniformly with any constant angular velocity about an axis perpendicular to the plane of the motion. Tho theorem is shown to apply to a liquid with quite general viscous and elastic properties in ahear, and the way in which the force on a cylindrical obstacle varies with the angular velocity of the frame of reference in the general case is investigated.


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